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Finding the Fourth Proportional to 12,034.42, 18,052 and 3,269.52

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Solution

The fourth proportional to 12,034.42, 18,052 and 3,269.52 is: 4,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.42 : 18,052 = 3,269.52 : x
  2. Step 2: Convert to fraction form
    12,034.42/18,052 = 3,269.52/x
  3. Step 3: Cross multiply
    12,034.42x = 18,052 × 3,269.52
  4. Step 4: Simplify right side
    12,034.42x = 59,021,375.04
  5. Step 5: Solve for x
    x = 59,021,375.04/12,034.42
  6. Step 6: Final answer
    x = 4,904.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.